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anonymous

  • one year ago

The point (8/17,y) lies in the first quadrant of the unit circle. If θ is the angle between the radius joining this point and the positive x-axis, then sinθ =? and tanθ =? .

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  1. anonymous
    • one year ago
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    Write your answers as reduced improper fractions, using / for the fraction bars.

  2. welshfella
    • one year ago
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    |dw:1436541841381:dw|

  3. welshfella
    • one year ago
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    |dw:1436541938607:dw|

  4. welshfella
    • one year ago
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    as we have a unit circle the length of hypotenuse = 1

  5. anonymous
    • one year ago
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    but what is sin0=?

  6. anonymous
    • one year ago
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    and what is tan0?

  7. welshfella
    • one year ago
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    Hint work out cos O first cos O = 8/17 / 1 so find O then sin O and tan O

  8. welshfella
    • one year ago
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    or another way to do it would be by using the pythagoras theorem - you know the length of one leg and the hypotenuse so you can find the length of y

  9. welshfella
    • one year ago
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    sin O = y and tan O = y / (8/17)

  10. anonymous
    • one year ago
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    this is so confusing

  11. anonymous
    • one year ago
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    ohh

  12. welshfella
    • one year ago
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    by pythagoras i^2 = y^2 + (8/17)^2 y^2 = 1 - (8/17)^2

  13. anonymous
    • one year ago
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    can u help me with more?

  14. welshfella
    • one year ago
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    y^2 = 289/289 - 64/289 = 225/289 y = 15/17

  15. welshfella
    • one year ago
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    i could but gotta go right now

  16. anonymous
    • one year ago
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    ok

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